Answer:
the value of the t test statistic is - 3.419
Step-by-step explanation:
Given that;
n₁ = 18, u₁ = 78.3, s₁ = 6.4
n₂ = 11, u₂ = 84.3, s₂ = 5.3
α = 0.1
Now The hypothesis are;
H₀ : u₁ = u₂
H₁ : u₁ < u₂
To compute the value of the t test statistic;
t = [(x₁ - x₂) / s × √(1/n₁ + 1/n₂)]
where
s = √ [ ((n₁-1) × s₁² + (n₂ - 1 ) × s₂²) / ( n₁ + n₂ - 2)]
s = √ [ ((18-1) × 6.4² + (11 - 1 ) × 5.3²) / ( 18 + 11 - 2)]
s = √ [ (7 × 40.96 + 10 × 28.09 ) / 27 ]
s = √ [ (286.72 + 280.9) / 27 ]
s = √(567.62/27)
s = √21.0229
s = 4.585
Now t test statistics t = [(x₁ - x₂) / s × √(1/n₁ + 1/n₂)]
t = [(78.3 - 84.3) / 4.585 × √(1/18 + 1/11)]
t = -6 / (4.585 × 0.3827)
t = - 6 / 1.7546795
t = - 3.419
Therefore the value of the t test statistic is - 3.419
as as level of significance α = 0.1
df = 18+11-2 = 27
∴ T(csal) = t(0.1, 27) = -1.313
That is
t(statistics) < t(cal)
{ - 3.419 < -1.313 }
Plz help me this is for online school I just started I don’t need to be failing already
Answer:
-65, (-35)-100+(-150), -250Step-by-step explanation:
When you work addition and subtraction problems, it is often easier to do them if you can "make a 10" or "make a 100", because adding or subtracting 10 or 100 is easier than with non-zero digits.
__
Here, you are steered toward noticing that there are two elements of the sum that have a total of -100. Those elements are -65 and -35. With the above in mind, you can use the commutative property to rearrange the sum to ...
-65 +(-35) +(-150) . . . . . . . last two terms were swapped
Then the first step is to add -65 and -35:
[tex]\text{It is easier to add }\boxed{-65}\,+\,\boxed{(-35)}\text{ first to get $-100$.}[/tex]
Now, the sum reduces to ...
-100 +(-150) = -250
So, the final sentence becomes ...
[tex]\text{Then add }\boxed{-100+(-150)}\text{ to get }\boxed{-250}\,.[/tex]
Vincent earns $546 on Monday and he earns $352 on Tuesday. How much total money does Vincent earn?
Answer:
$898
Step-by-step explanation:
Easy, 546 + 352 =
898
There are 16 sixth graders and 20 seventh graders in the Robotics Club. For the first project, the club sponsor wants to organize the club members into equal-size groups. Each group will have only sixth graders or only seventh graders. How many students will be in each group if each group has the greatest possible number of club members?
calculate the area of area of a rectangular with a base of 10cm and a height of 6cm
Answer:
[tex]\Huge \boxed{\mathrm{60 \ cm^2 }}[/tex]
Step-by-step explanation:
Area of a rectangle is length × width.
The length of the rectangle is 10 cm.
The width of the rectangle is 6 cm.
[tex]\Rightarrow 10 \cdot 6 \\\\\\ \Rightarrow 60[/tex]
The area of the rectangle is 60 cm².
Answer:
60cm is the answer
Step-by-step explanation:
Area of a rectangle is length × width.
so..... The length of the rectangle is 10 cm.
And the width of the rectangle is 6 cm.
so... 10x6=60 cm
the number of points by a basketball player in the first eight games of a season are shown before. 15,35,18,30,25,21,32,16
Answer:
24
Step-by-step explanation:
Assuming you want to find a mean, the answer is: 24 (sum of all values/number of values)
Range is largest-smallest
Median is middle value
(6^2)^x =1 please help ASAP please
Answer:
x =0Step-by-step explanation:
[tex]\left(6^2\right)^x=1\\\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc}\\\left(6^2\right)^x=6^{2x}\\\\6^{2x}=1\\\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)\\\ln \left(6^{2x}\right)=\ln \left(1\right)\\\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\\\ln \left(6^{2x}\right)=2x\ln \left(6\right)\\2x\ln \left(6\right)=\ln \left(1\right)\\[/tex]
[tex]\mathrm{Solve\:}\:2x\ln \left(6\right)=\ln \left(1\right):\\\quad x=0[/tex]
Answer:
x = 0
Simplified: [tex]36^{x} = 1[/tex]
Step-by-step explanation:
How to simplify:
[tex]6^{2}[/tex] = 6 × 6 = 36Plug in 36: [tex]36^{x} = 1[/tex]10-(2x-3)
A. 7-2x
B. 13+2x
C. 15x
D. 13-2x
Answer:
D.13-2x
Step-by-step explanation:
[tex]10-\left(2x-3\right)\\\\-\left(2x-3\right):\quad -2x+3\\=10-2x+3\\\\\mathrm{Simplify}\:10-2x+3:\\\quad -2x+13[/tex]
Answer:
13 -2x
Step-by-step explanation:
10-(2x-3)
Distribute the minus sign
10 -2x +3
Combine like terms
13 -2x
Type the standard form of three hundred thousand two hundred one
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
Standard form is numbers only.
Examples of standard numbers are 4, 225, or 9,002
A thousands number has 4 digits.
A hundreds number has 3 digits.
A tens number has 2 digits.
A regular number has 1 digit (itself).
Three hundred means 300.
Three hundred thousand, would be 300 times 1,000 (one thousand), or adding 3 zeros.
Two hundred is 200.
One is 1.
300 times 1,000 is 300,000.
300,000 and 200 is 300,200.
If the ones digit has a 1, then the number is 300,201.
Three hundred thousand, two hundred one written in standard form is 300,201.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
Three hundred thousand, two hundred one written in standard form is 300,201.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
A thousand number has 4 digits.
A hundred number has 3 digits.
A tens number has 2 digits.
A regular number has 1 digit (itself).
Three hundred means 300.
Three hundred thousand would be 300 times 1,000 (one thousand), or adding 3 zeros.
Two hundred is 200.
One is 1.
300 times 1,000 is 300,000.
300,000 and 200 is 300,200.
If the one digit has a 1, then the number is 300,201.
Three hundred thousand, two hundred one written in standard form is 300,201.
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The product of two whole numbers is 936 and the sum is 62. What are the two numbers
Answer:
26 and 36.
Step-by-step explanation:
Let the two whole numbers be a and b. Thus, the product of them is 936 while their sum is 62. In equations, this is:
[tex]ab=936\\a+b=62[/tex]
This is a system of equations. To solve, subtract either a or b from the second equation and substitute it into the first.
For instance, subtract b from both sides in the second equation:
[tex]a+b=62\\a=62-b[/tex]
Substitute this into the first equation:
[tex](62-b)(b)=936[/tex]
Distribute:
[tex]62b-b^2=936[/tex]
Rearrange:
[tex]-b^2+62b=936[/tex]
Divide everything by -1 to make the leading coefficient positive:
[tex]b^2-62b=-936[/tex]
Add 936 to both sides:
[tex]b^2-62b+936=0[/tex]
This is now a quadratic. Solve for b.
To do so, we can factor.
After a bit of testing, we can see that -36 and -26 are possible. Thus:
[tex](b-26)(b-36)=0[/tex]
For for b:
[tex]b=26\text{ or } b=36[/tex]
Thus, b is 26 or 36.
Now, plug these back into the isolated equation to solve for a:
[tex]a=62-b\\a=62-(26) \text{ or } a=62-(36)\\a=36\text{ or } a=26[/tex]
It doesn't really matter which one we choose since they're the same.
Thus, the answer is 26 and 36.
Which graph represents decreasing distance with increasing time?
Answer: im pretty sure its exponential decay?
Step-by-step explanation:
A distribution is negatively skewed. Which is the most probable order for the three measures of central tendency
Options :
a mean - 40, median - 50, mode - 60
b. mean-60, median - 50, mode - 40
c. mean - 40, median-60, mode - 50
d. mean - 50, median - 50, mode - 50
Answer: mean - 40, median - 50, mode - 60
Step-by-step explanation: A negatively skewed distribution is characterized by it long tail being positioned to the left(negative direction) with its peak positioned to the right (positive direction) of the distribution. On a general note, the mean is always positioned towards the left or negative side if the peak, with the median coming next and usually positioned to the right of the mean and the mode positioned to the right side of the median.
Hence, for a negatively skewed distribution, the mean has the least value followed by the median, with the mode boasting the highest.
That is : mean < median < mode
A line extends indefinitely in opposite directions.
Use De Morgan’s law for quantified statements and the laws of propositional logic to
show the following equivalences:________
a) ¬ x(P (x) ¬Q(x)) x(¬P (x) Q(x))∀∧≡∃∨
b) ¬ x(¬P (x) = Q(x)) x(¬P (x) ¬Q(x))∀⇒≡∃∧
c) ¬ x(¬P (x) (Q(x) ¬R(x))) x(P (x) (¬Q(x) R(x)))
Answer:
A) ¬(¬q) ≡ q
B) ≡ ( эx) (¬p(x) ∧ ¬q(x)
C) ≡ ( зx ) (p(x) ∧ (¬ q(x) ∨ r(x)) )
Step-by-step explanation:
using De Morgan's law for quantified statements and the laws of propositional logic to show the equivalent of the following
from De -Morgan law
¬(A ∨ B ) = ¬ A ∧¬ B
ATTACHED BELOW IS THE COMPLETE SOLUTION
Your text suggests you look find an agent that has been in the insurance business for how long??
Answer:
A month at the very least
Step-by-step explanation:
A storage pod has a rectangular floor that measures 21 feet by 9 feet and a flat ceiling that is 7 feet above the floor. Find the area of the floor and the volume of the pod.
Answer:
area: 189 ft²volume: 1323 ft³Step-by-step explanation:
The area of the rectangular floor is the product of its length and width:
A = LW = (21 ft)(9 ft) = 189 ft²
The volume of the pod is the product of that floor area and the height:
V = Bh = (189 ft²)(7 ft) = 1323 ft³
The area of the floor is 189 ft²; the volume of the pod is 1323 ft³.
One brother says of his younger brother: “Two years ago, I was three times as old as my brother was. In three years’ time, I will be twice as old as my brother.” How old are they each now?
Answer:
One brother says of his younger brother: “Two years ago, I was three times as old as my brother was. In three years’ time, I will be twice as old as my brother.” How old are they each now?
Step-by-step explanation:
Let us suppose two years ago my brother's age was x years
Then, my age was 3x
Three years from now, my brother's age will be (x +2+3) = (x+5) years
And my age will be (3x+2+3) = (3x+5) years
But it is given that i will be twice as old as my brother.
So, 2(x+5)= (3x+5)
or, x= 5 years
So my brother's present age is 5+2= 7 years
And my age is 5*3+2= 17 years
The age of the older brother is 13 and the age of the younger brother is 5.
Two simultaneous equations can be determined from this question:
y = 3x - 2 equation 1
y = 2x + 3 equation 2
Where:
y = older brother's age
x = younger brother's age
Equate equation 1 and equation 2
3x - 2 = 2x + 3
Combine similar terms
3x - 2x = 3 + 2
x = 5
Substitute for x in equation 1
3(5) - 2
15 - 2
y =13
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Which is the correct answer choice?
Answer:
i think b is answer. i think this is useful to you
PLZ HURRY Yummy donuts gave 2 dozen chocolate donuts and 6 donut jelly donuts to the school.how many donuts did they give?
Answer:
they gave 18 donuts to the school.
Answer:
2 dozen= 24 + 6 = 30 donut.
Simplify 8(3 - 2x).
0 24x - 16
16x - 24
24 - 16x
Answer:
24 - 16x
Step-by-step explanation:
8(3 - 2x)
Distribute
8*3 - 8*2x
24 - 16x
Seventy-two percent of the shareholders in a service corporation are women. If the corporation is
owned by 47800 people, how many of the shareholders are women?
Answer:
34416
Step-by-step explanation:
.72(percentage) × 47800(people)
34416
List the new coordinate of point J' when the figure is reflected over the y-axis.
Answer: (-4, -3)
Step-by-step explanation:
The original coordinate of J is (4, -3)
Since it is reflex over y-axis, the y value remains.
For the x value, it is originally 4 units away from the y-axis positively, thus, after reflexing, it will be 4 units away from the y-axis negatively.
The new coordinate of J' is (-4, -3)
Hope this helps!! :)
Please let me know if you have any question
Find the square. Simplify your answer.
(2t - 4)
Answer:
t^2 -4t + 4
Step-by-step explanation:
(2t-4)(2t-4) Use the FOIL Method (first, outside, inside, last)
2t*2t =4t^2 First
2t*-4 = -8t Outside
-4*2t = -8t Inside
-4*-4 = 16 Last
4t^2 -8t -8t + 16 (simplify/add like terms)
(4t^2 -16t + 16)/4 (you can further simplify by dividing each value by 4)
t^2 -4t + 4
You own 24 CDs. You want to randomly arrange 7 of them in a CD rack. What is the probability that the rack ends up in alphabetical order
Answer:
the probability that the rack ends up in alphabetical order is 0.0001984
Step-by-step explanation:
Given that:
You own 24 CDs. You want to randomly arrange 7 of them in a CD rack.
Th probability that the rack ends up in alphabetical order can be determined by taking note of the permutations and combinations.
From above; all possible permutations of size 7 we can derive from 24 is
24P7
Similarly,we are meant to estimate all the possible ways a unique set of 7 things can be gotten from a total of 24
i.e
24 C7
∴
The probability = [tex]\dfrac{^{24}{C}_7}{^{24}{P}_7}[/tex]
= [tex]\dfrac{\dfrac{24!}{7!(24-7)!} }{ \dfrac{24!}{(24-7)!} }[/tex]
=[tex]\dfrac{\dfrac{24!}{7!(17)!} }{ \dfrac{24!}{(17)!} }[/tex]
= [tex]\dfrac{346104}{ 1.74436416 \times 10^9}[/tex]
= 0.0001984
the probability that the rack ends up in alphabetical order is 0.0001984
The probability that the rack ends up in alphabetical order is 0.0001984
The total number of CD is given as:
[tex]\mathbf{n = 24}[/tex]
The number of CDs to select is given as:
[tex]\mathbf{r = 7}[/tex]
The number of arrangement of 7CDs in 24 is represented as 24P7
So, we have:
[tex]\mathbf{^{24}P_7 = \frac{24!}{(24 - 7)!}}[/tex]
[tex]\mathbf{^{24}P_7 = \frac{24!}{17!}}[/tex]
Simplify
[tex]\mathbf{^{24}P_7 =1744364160}[/tex]
The number of selecting 7 CDs from 24 is represented as 24C7
So, we have:
[tex]\mathbf{^{24}C_7 = \frac{24!}{(24 - 7)!7!}}[/tex]
[tex]\mathbf{^{24}C_7 = \frac{24!}{17!!7}}[/tex]
Simplify
[tex]\mathbf{^{24}C_7 =346104}[/tex]
So, the probability is:
[tex]\mathbf{Pr = \frac{346104}{1744364160}}[/tex]
Divide
[tex]\mathbf{Pr = 0.0001984}[/tex]
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A lunch bill is $12 before tax. If the tax on the bill is 7.5% what is the total cost of the lunch including tax?
Answer:
[tex] \boxed{ \bold{ \huge{\boxed{ \sf{ \: 12.9 \: \: dollars}}}}}[/tex]
Step-by-step explanation:
Given,
Cost without tax = $ 12
Tax percent = 7.5 %
Cost including tax = ?
First, finding the tax amount :
[tex] \sf{tax \: amount \: = \: 7.5 \: \% \: of \: 12}[/tex]
⇒[tex] \sf{tax \: amount = \frac{7.5}{100} \times 12} [/tex]
⇒[tex] \sf{tax \: amount = 0.9}[/tex] dollars
Finding the total cost of the lunch including tax :
⇒[tex] \sf{total \: cost \: = \: 12 + 0.9}[/tex]
⇒[tex] \sf{total \: cost \: = \: 12.9}[/tex] dollars
Hope I helped!
Best regards ! :D
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
1/3
Step-by-step explanation:
√2 is irrational because radicals are irrational. π is also an irrational number. The third option, 1.3985624785461.... is obviously not a terminating decimal, hence, it is also irrational. Therefore, the answer is 1/3. We know this because 1/3 can be written in the form a / b where a and b are rational numbers, in this case, a = 1 and b = 3.
g The false positive rate, P(+|N), for a test is given as 0.04. What is the specificity for this test?
Answer:
Step-by-step explanation:
Let us consider a data of prevalent diseases.
If the false positive rate is P(Test + | N) = 0.04
Therefore, sensitivity is defined as the probability of a positive test result given the presence of the disease. This can be written as: P (positive test | disease present).
Specificity is defined as the probability of a negative test result given absence of disease, that is, P (negativetest | diseaseabsent). PPV is defined as the probability of the presence of disease given a positive test result, ie, P (disease present | positivetest).
Solve the equation by extracting the square roots. List both the exact solution and its approximation rounded to two decimal places. x2 = 19
Answer:
[tex] x = \pm \sqrt{19} [/tex]
[tex] x = \pm 4.36 [/tex]
Step-by-step explanation:
[tex] x^2 = 19 [/tex]
[tex] x = \pm \sqrt{19} [/tex]
[tex] x = \pm 4.36 [/tex]
The exact solution is 4.36.
What is square root?Squares are the numbers, generated after multiplying a value by itself. Whereas square root of a number is value which on getting multiplied by itself gives the original value. Hence, both are vice-versa methods. For example, the square of 2 is 4 and the square root of 4 is 2.
Given:
x² = 19
On taking root on both side
√x² = √19
x= √19
x = 4.3588
Hence, the exact solution and its approximation rounded to two decimal places is 4.36.
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There are 10,000 mutual fund managers. 22 claim that they are the best, since their fund beat the relevant index every year for 7 years. However, you think that markets are efficient and that the average fund manager is as likely to deliver a better performance than the index as to underperform the index, before fees.
Part 1 | Attempt 1/10 for 10 pts. What is the probability that the average single fund managers beats the index 7 years in a row (before fees)? 4+ decimals
Part 2 | Attempt 1/10 for 10 pts. How many fund managers would you expect to beat the index 7 years in a row if only luck and no skill was involved? No decimals
Answer:
Part A:
Probability that average single manager beat the index= [tex](0.5)^7=0.0078125=0.0078 (4\ decimals)[/tex]
Part B:
Fund Managers to beat index 7 years=78.125≅78 managers.
Step-by-step explanation:
Part A:
Given data:
Since there are equal chances for delivering equal better performance and of under performance so
Probability of better performance =0.5
Required:
Probability that the average single fund managers beats the index 7 years in a row (before fees)=?
Solution:
Since there is 7 year index:
Probability that average single manager beat the index= [tex](0.5)^7=0.0078125=0.0078 (4\ decimals)[/tex]
Part B:
Given Data:
Number of mutual fund managers=10,000
Probability that average single manager beat the index= 0.0078125 (Calculated in part A)
Required:
How many fund managers would you expect to beat the index 7 years in a row if only luck and no skill was involved?
Solution:
Fund Managers to beat index 7 years=Total number of managers*probability average single member beat the index
Fund Managers to beat index 7 years=10,000*0.0078125
Fund Managers to beat index 7 years=78.125≅78 managers.
6.8 ÷ 3.4 step by step
Answer:
2
Step-by-step explanation:
Pretend there is no decimal point. We can do this by multiplying both numbers by 10.
After that, it becomes 68/34. You then divide those two, and you get 2 as your answer.
Answer:
2
Step-by-step explanation:
its easy you can do it with calculator or paper -__-
3.21 x 10^4 in standard notation
Answer:
32100
Step-by-step explanation:
hope this helps
sorry if its wrong